Recent content by MisterMan

  1. M

    Schrodinger Equation : Infinite Square Well

    Hi, I am having trouble understanding an example from a textbook I am reading on the Schrodinger equation. The example deals with an infinite square well in one dimension. With the following properties: V = 0\,where -a \leq x \leq a V = \infty\,|x| \geq a Where V is the potential. The...
  2. M

    Points of Inflection, The Second Derivative Test.

    Hi, I am having a little trouble understanding something my lecturer said about using the table of signs to check whether there exists a point of inflection when y'' = 0. I understand that in order for there to be a point of inflection at x0 say, I require to check the value of y'' at either...
  3. M

    Programs Finishing CS degree: How do I *not* get a desk job

    Well, I can offer my opinion on the matter, but seeing as I'm not in the same position as you ( I am just starting a degree in computer science ) I'm not sure how useful/helpful it will be. If you wish to do something in the field of Computer Science, without being a "code monkey" I would have...
  4. M

    Double Integration Using Polar Coordinates

    MAJOR EDIT: I am so so sorry to both of you for wasting your time. Me and my infinite stupidity didn't take a good enough look at the answer at the back of the book. The answer at the book did not give r = 1, but stated the upper limit for r was the line x = 1 ( Ah, how stupid of me ). This...
  5. M

    Double Integration Using Polar Coordinates

    Homework Statement \int\int \frac{x^3}{x^2 + y^2}\,dxdy Use polar coordinates to evaluate the triangle R, with vertices (0,0), (1,0) and (1,1) Homework Equations \int\int f(r,\theta) r\,drd\theta r^2 = x^2 + y^2 x = rcos\theta y = rsin\theta The Attempt at a Solution I...
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    MS Physics Guidance: Quantum Mechanics, Nanophysics, More

    The "correct" course doesn't just contain the subjects you study. For instance, I could point you to a course in North America, but would you be willing to travel there? I would suggest having a look at what the university you graduated has to offer ( and any nearby ones for that matter )...
  7. M

    Solving Limits Problem with Beta Function

    My mistake, I forgot the part I used to get my answer was under 1 as in, a fraction. Thanks.
  8. M

    Why Does My Integral Substitution Result in a Logarithm?

    EDIT: At first sight it looked like the one was separate from the 2x^2, sorry I realized my mistake when I scrolled down. It looks like a simple log integration to me. What other integration concepts have you studied in class recently?
  9. M

    Solving Limits Problem with Beta Function

    Thanks. I'm not familiar with this sort of work ( swapping the bounds and applying a negative ) I have never done it before, and nothing was stated in the answer section or accompanying question text. So, this is what I get applying your helpful advice :smile:: x = \frac{1}{y} => dx =...
  10. M

    Solving Limits Problem with Beta Function

    Do you happen to have an example to show me that that has a smaller number on the upper limit than the lower limit?
  11. M

    Solving Limits Problem with Beta Function

    I'm not sure that's correct. The upper limit is b, so really that should be the upper limit, right?
  12. M

    Solving Limits Problem with Beta Function

    That's already been done. I made the substitution x = 1/y as I stated in my initial post. What I'm confused about is the limits of the integration and the fact that I'm getting a negative answer.
  13. M

    Solving Limits Problem with Beta Function

    I've never seen an example in which it was less than a. EDIT: Also when getting bounds from a graph you always choose b as the largest positive x value and a as the smallest x value.
  14. M

    Solving Limits Problem with Beta Function

    That's what I thought, but can I have an upper bound of 0 and lower bound of 1? I thought b was always supposed to be greater than a: \int_a^bf(x)\,dx Also, I get the negative sign from differentiating x = 1/y, not from my mixing the bounds around.
  15. M

    Solving Limits Problem with Beta Function

    Homework Statement \int_1^{\infty}\frac{dx}{x^2(x-1)^{1/2}} Homework Equations \int_0^1t^{x-1}(1-t)^{y-1}\,dt \int_0^\infty\dfrac{t^{x-1}}{(1+t)^{x+y}}\,dt, The Attempt at a Solution Hi all, I have another beta function problem. This time I'm unsure how to deal with the limits, as the...
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